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In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date
Chapter 4, Problem 4..1-5(choose chapter or problem)
In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date nonsmokers, 1% prefer to date smokers, and 21% dont care. Suppose seven such boys are selected randomly. Let X equal the number who prefer to date nonsmokers and Y equal the number who prefer to date smokers. (a) Determine the joint pmf of X and Y. Be sure to include the support of the pmf. (b) Find the marginal pmf of X. Again include the support.
Questions & Answers
QUESTION:
In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date nonsmokers, 1% prefer to date smokers, and 21% dont care. Suppose seven such boys are selected randomly. Let X equal the number who prefer to date nonsmokers and Y equal the number who prefer to date smokers. (a) Determine the joint pmf of X and Y. Be sure to include the support of the pmf. (b) Find the marginal pmf of X. Again include the support.
ANSWER:Step 1 of 3
Given that,
In a smoking survey among boys between the ages of 12 and 17, 78% prefer to date non-smokers, 1% prefer to date smokers, and 21% don’t care. Suppose seven such boys are selected randomly. Let X equal the number who prefer to date non-smokers and Y equal the number who prefer to date smokers.
So,
n = 7; px = 0.78; py = 0.01; pz = 0.21